A STORY OF RATIOS
End-of-Module Assessment Task
Name
6•2
Date
1. L.B. Johnson Middle School held a track and field event during the school year. The chess club sold
various drink and snack items for the participants and the audience. All together, they sold 486 items
that totaled $2,673.
a.
If the chess club sold each item for the same price, calculate the price of each item.
b.
Explain the value of each digit in your answer to 1(a) using place value terms.
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Arithmetic Operations Including Division of Fractions
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A STORY OF RATIOS
End-of-Module Assessment Task
6•2
2. The long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of
wood to frame the pit. Each piece of wood provided measures 6 feet, which is approximately 1.8287
meters.
2.75 meters
9.54 meters
a.
Determine the amount of wood, in meters, needed to rebuild the frame.
b.
How many boards did the volunteers supply? Round your calculations to the nearest hundredth and
then provide the whole number of boards supplied.
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Arithmetic Operations Including Division of Fractions
37
End-of-Module Assessment Task
A STORY OF RATIOS
6•2
3. Andy runs 436.8 meters in 62.08 seconds.
a.
If Andy runs at a constant speed, how far does he run in one second? Give your answer to the
nearest tenth of a second.
b.
Use place value, multiplication with powers of 10, or equivalent fractions to explain what is
happening mathematically to the decimal points in the divisor and dividend before dividing.
c.
In the following expression, place a decimal point in the divisor and the dividend to create a new
problem with the same answer as in 3(a). Then, explain how you know the answer will be the same.
4 3 6 8 ÷ 6 2 0 8
Module 2:
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Arithmetic Operations Including Division of Fractions
38
End-of-Module Assessment Task
A STORY OF RATIOS
6•2
4. The PTA created a cross-country trail for the meet.
a.
The PTA placed a trail marker in the ground every four hundred yards. Every nine hundred yards the
PTA set up a water station. What is the shortest distance a runner will have to run to see both a
water station and trail marker at the same location?
Answer:
hundred yards
b.
There are 1,760 yards in one mile. About how many miles will a runner have to run before seeing
both a water station and trail marker at the same location? Calculate the answer to the nearest
hundredth of a mile.
c.
The PTA wants to cover the wet areas of the trail with wood chips. They find that one bag of wood
1
chips covers a 3 yards section of the trail. If there is a wet section of the trail that is approximately
1
2
50 4 yards long, how many bags of wood chips are needed to cover the wet section of the trail?
Module 2:
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Arithmetic Operations Including Division of Fractions
39
A STORY OF RATIOS
End-of-Module Assessment Task
6•2
5. The Art Club wants to paint a rectangle-shaped mural to celebrate the winners of the track and field
meet. They design a checkerboard background for the mural where they will write the winners’ names.
The rectangle measures 432 inches in length and 360 inches in width. Apply Euclid’s Algorithm to
determine the side length of the largest square they can use to fill the checkerboard pattern completely
without overlap or gaps.
Module 2:
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Arithmetic Operations Including Division of Fractions
40